An exact self-consistent gravitational shock wave in semiclassical gravity

Details An exact self-consistent gravitational shock wave in semiclassical gravity An exact self-consistent gravitational shock wave in semiclassical gravity

1996-11-05

arxiv.org/abs/gr-qc/9611009v2

Phys.Rev.D56:3471-3477,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, REVTEX, 4 PS figures. Revised version contains a derivation of the solution compatible with its distributional chara

Scientific paper

10.1103/PhysRevD.56.3471

We find a self-consistent pp-gravitational shock wave solution to the semiclassical Einstein equations resulting from the $1/N$ approach to the effective action. We model the renormalized matter stress-energy-momentum tensor by $N$ massless scalar fields in the Minkowski vacuum plus a classical particle. We show that quantum effects generate a milder singularity at the position of the particle than the classical solution, but the singularity does not disappear. At large distances from the particle, the quantum correction decreases slowly, as $1/\rho^2$ ($\rho$ being the distance to the particle in the shock wave plane). We argue that this large distance correction is a necessary consequence of quantum gravity.

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